Question

find the solution of this system of equations x=4+y -10x+6y+-28 separate x and y values with a comma.

Answer 1

The solution is (1,-3)

Step-by-step explanation

The system of Equations are;

`x=4+y`

and

`-10x+6y=-28`

We substitute the first equation into the second equation to get:

`-10(4 + y)+6y=-28`

We expand the parenthesis to get:

`-40 - 10y+6y=-28`

Group similar terms to get:

`- 10y+6y=-28 + 40`

Simplify the similar terms to get;

`- 4y = 12`

Divide both sides -4.

`y = (12)/( - 4)`

`y = - 3`

We put y=-3 into the first equation to get:

`x = 4 + - 3 = 1`

Therefore the solution is (1,-3)